Stability of explicit Navier-Stokes procedures using \(k-\varepsilon\) and \(k-\varepsilon\)/algebraic Reynolds stress turbulence models
type: Item
instance of: scholarly article
title: Stability of explicit Navier-Stokes procedures using \(k-\varepsilon\) and \(k-\varepsilon\)/algebraic Reynolds stress turbulence models
zbMATH Open document ID: 0778.76059
DOI: 10.1016/0021-9991(92)90330-2
author: Robert F. Kunz
author: Budugur Lakshminarayana
published in: Journal of Computational Physics
publication date: 1993-01-17T00:00:00Z
review text: This paper presents a numerical stability analysis of explicit Navier- Stokes procedures using a two-equation \(k-\epsilon\) turbulence model. The motivation and stability implications of numerical coupling the turbulence transport equations to the mean flow equations are analyzed and discussed. Next von Neumann stability analysis of seven discrete equations is undertaken and some local stability results are obtained. Order of magnitude arguments is applied to these results. Also some practical experiences and ad hoc strategies are detailed.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76F10
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 98362
zbMATH Keywords: turbulence transport equations
zbMATH Keywords: mean flow equations
zbMATH Keywords: von Neumann stability analysis
zbMATH Keywords: local stability
reviewed by: Qin Meng Zhao
MaRDI profile type: Publication
full work available at URL: 0021-9991(92)90330-2
OpenAlex ID: W2052096360
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description: scientific article; zbMATH DE number 98362